Which of the following relations on R are equivalence relations? Z,Q and R stands for set of integer, rational numbers and real numbers, respectively. Rx Rx ≤ y}. Rx R\x² - y² (a) T-{(x,y) (b) S = {(x,y) Q}.

Algebra & Trigonometry with Analytic Geometry
13th Edition
ISBN:9781133382119
Author:Swokowski
Publisher:Swokowski
Chapter4: Polynomial And Rational Functions
Section4.3: Zeros Of Polynomials
Problem 62E
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Which of the following relations on R are equivalence relations?

Which of the following relations on R are equivalence relations? Z,Q and R stands for set of
integer, rational numbers and real numbers, respectively.
(a) T= {(x,y)
Rx Rx ≤ y}.
(b) S = {(z,y) € Rx R\x² - y²
Q}.
Transcribed Image Text:Which of the following relations on R are equivalence relations? Z,Q and R stands for set of integer, rational numbers and real numbers, respectively. (a) T= {(x,y) Rx Rx ≤ y}. (b) S = {(z,y) € Rx R\x² - y² Q}.
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